Exact value of the resistance exponent for four dimensional random walk trace

DOI10.1007/s00440-011-0343-xzbMath1246.82044OpenAlexW2135859042MaRDI QIDQ438974

Daisuke Shiraishi

Publication date: 31 July 2012

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00440-011-0343-x

Mathematics Subject Classification ID

Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (5)

Correction to: ``Exact value of the resistance exponent for four dimensional random walk trace ⋮ Scaling limit for random walk on the range of random walk in four dimensions ⋮ Asymptotic entropy of the ranges of random walks on discrete groups ⋮ Growth exponent for loop-erased random walk in three dimensions ⋮ Cover times for sequences of reversible Markov chains on random graphs

Cites Work

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• Heat kernel for random walk trace on \(\mathbb Z^{3}\) and \(\mathbb Z^{4}\)
• Heat kernel estimates for strongly recurrent random walk on random media
• The probability of intersection of independent random walks in four dimensions
• Escape probabilities for slowly recurrent sets
• An almost sure invariance principle for the range of random walks
• Rigorous exponent inequalities for random walks

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